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Welcome to travel.SE Daniel. I hate to rain on your parade given this is your first question but: 1. European style travel e.g. by train to practically every little place in the US may not be possible such is the case in Minneapolis. No passenger train service. 2. What is your idea of romance? Some want a presidential suite in Waldorf-Astoria others tent on the beach. 3. Let's pick destinations first.
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KarlsonApr 30 '12 at 14:35

@Daniel - great question, and we'd love to answer it, but as per our faq, we try to ask questions that can be answered objectively, and aren't too broad. A sunny and romantic east coast spot could be literally hundreds of towns. What type of cultural - do you mean native american things, or sports events, or dance, or theatre? If you please edit the question to say what you're after, and flag it to be reopened, we'd gladly answer it, but as it stands it's too broad, and so I'm temporarily closing it off until it's been edited. Thanks :)
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Mark MayoApr 30 '12 at 22:35

@Karlson: Minneapolis does have passenger train service. It's a stop on Amtrak's Empire Builder route, running from Seattle to Chicago. (The station is actually in St. Paul, maybe that's how you missed it?)
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Nate EldredgeAug 10 '13 at 2:14

@NateEldredge To be quite hones I don't remember if I looked that carefully a year ago. But I may have missed it. Additionally MSP - NYP has to include at least one but possibly 2 transfers going by rail.
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KarlsonAug 11 '13 at 18:53